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Finding the Third Proportional to 201,832 and 321,215

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Solution

The third proportional to 201,832 and 321,215 is: 511,212.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,832 : 321,215 = 321,215 : x
  2. Step 2: Convert to fraction form
    201,832/321,215 = 321,215/x
  3. Step 3: Cross multiply
    201,832x = 321,215 × 321,215
  4. Step 4: Simplify right side
    201,832x = 103,179,076,225
  5. Step 5: Solve for x
    x = 103,179,076,225/201,832
  6. Step 6: Final answer
    x = 511,212.67

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.